TSTP Solution File: MGT044-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT044-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:19:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 13 unt; 0 nHn; 22 RR)
% Number of literals : 63 ( 17 equ; 32 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_3,axiom,
( A != B
| smaller_or_equal(A,B) ) ).
cnf(assumption_5_32,axiom,
( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) ) ).
cnf(assumption_7_35,axiom,
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) ).
cnf(assumption_9_36,axiom,
( ~ organization(A)
| internal_friction(A,B) = internal_friction(A,C) ) ).
cnf(lemma_3_37,negated_conjecture,
organization(sk1) ).
cnf(lemma_3_38,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)) ).
cnf(lemma_3_39,negated_conjecture,
~ greater(capability(sk1,sk3),capability(sk1,sk2)) ).
cnf(refute_0_0,plain,
( ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(subst,[],[assumption_7_35:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
( ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[$cnf( greater(age(sk1,sk3),age(sk1,sk2)) )],[lemma_3_38,refute_0_0]) ).
cnf(refute_0_2,plain,
greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(resolve,[$cnf( organization(sk1) )],[lemma_3_37,refute_0_1]) ).
cnf(refute_0_3,plain,
( B != B
| smaller_or_equal(B,B) ),
inference(subst,[],[definition_smaller_or_equal_3:[bind(A,$fot(B))]]) ).
cnf(refute_0_4,plain,
B = B,
introduced(tautology,[refl,[$fot(B)]]) ).
cnf(refute_0_5,plain,
smaller_or_equal(B,B),
inference(resolve,[$cnf( $equal(B,B) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
smaller_or_equal(internal_friction(sk1,X_121),internal_friction(sk1,X_121)),
inference(subst,[],[refute_0_5:[bind(B,$fot(internal_friction(sk1,X_121)))]]) ).
cnf(refute_0_7,plain,
( ~ greater(stock_of_knowledge(sk1,X_117),stock_of_knowledge(sk1,X_118))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,X_117),internal_friction(sk1,X_118))
| greater(capability(sk1,X_117),capability(sk1,X_118)) ),
inference(subst,[],[assumption_5_32:[bind(A,$fot(sk1)),bind(B,$fot(X_117)),bind(C,$fot(X_118))]]) ).
cnf(refute_0_8,plain,
( ~ organization(sk1)
| internal_friction(sk1,X_14) = internal_friction(sk1,X_15) ),
inference(subst,[],[assumption_9_36:[bind(A,$fot(sk1)),bind(B,$fot(X_14)),bind(C,$fot(X_15))]]) ).
cnf(refute_0_9,plain,
internal_friction(sk1,X_14) = internal_friction(sk1,X_15),
inference(resolve,[$cnf( organization(sk1) )],[lemma_3_37,refute_0_8]) ).
cnf(refute_0_10,plain,
internal_friction(sk1,X_14) = internal_friction(sk1,X_118),
inference(subst,[],[refute_0_9:[bind(X_15,$fot(X_118))]]) ).
cnf(refute_0_11,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( internal_friction(sk1,X_14) != internal_friction(sk1,X_118)
| internal_friction(sk1,X_118) = internal_friction(sk1,X_14) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(internal_friction(sk1,X_14))),bind(Y,$fot(internal_friction(sk1,X_118)))]]) ).
cnf(refute_0_15,plain,
internal_friction(sk1,X_118) = internal_friction(sk1,X_14),
inference(resolve,[$cnf( $equal(internal_friction(sk1,X_14),internal_friction(sk1,X_118)) )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
( internal_friction(sk1,X_118) != internal_friction(sk1,X_14)
| ~ smaller_or_equal(internal_friction(sk1,X_117),internal_friction(sk1,X_14))
| smaller_or_equal(internal_friction(sk1,X_117),internal_friction(sk1,X_118)) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(internal_friction(sk1,X_117),internal_friction(sk1,X_118)) ),[1],$fot(internal_friction(sk1,X_14))]]) ).
cnf(refute_0_17,plain,
( ~ smaller_or_equal(internal_friction(sk1,X_117),internal_friction(sk1,X_14))
| smaller_or_equal(internal_friction(sk1,X_117),internal_friction(sk1,X_118)) ),
inference(resolve,[$cnf( $equal(internal_friction(sk1,X_118),internal_friction(sk1,X_14)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ greater(stock_of_knowledge(sk1,X_117),stock_of_knowledge(sk1,X_118))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,X_117),internal_friction(sk1,X_14))
| greater(capability(sk1,X_117),capability(sk1,X_118)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(sk1,X_117),internal_friction(sk1,X_118)) )],[refute_0_17,refute_0_7]) ).
cnf(refute_0_19,plain,
( ~ greater(stock_of_knowledge(sk1,X_117),stock_of_knowledge(sk1,X_118))
| ~ smaller_or_equal(internal_friction(sk1,X_117),internal_friction(sk1,X_14))
| greater(capability(sk1,X_117),capability(sk1,X_118)) ),
inference(resolve,[$cnf( organization(sk1) )],[lemma_3_37,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ greater(stock_of_knowledge(sk1,X_121),stock_of_knowledge(sk1,X_120))
| ~ smaller_or_equal(internal_friction(sk1,X_121),internal_friction(sk1,X_121))
| greater(capability(sk1,X_121),capability(sk1,X_120)) ),
inference(subst,[],[refute_0_19:[bind(X_117,$fot(X_121)),bind(X_118,$fot(X_120)),bind(X_14,$fot(X_121))]]) ).
cnf(refute_0_21,plain,
( ~ greater(stock_of_knowledge(sk1,X_121),stock_of_knowledge(sk1,X_120))
| greater(capability(sk1,X_121),capability(sk1,X_120)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(sk1,X_121),internal_friction(sk1,X_121)) )],[refute_0_6,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(subst,[],[refute_0_21:[bind(X_120,$fot(sk2)),bind(X_121,$fot(sk3))]]) ).
cnf(refute_0_23,plain,
greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolve,[$cnf( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) )],[refute_0_2,refute_0_22]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( greater(capability(sk1,sk3),capability(sk1,sk2)) )],[refute_0_23,lemma_3_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT044-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 10:50:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47
% 0.19/0.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.47
%------------------------------------------------------------------------------